Pith Number

pith:5B5XG3KC

pith:2025:5B5XG3KCSSU5E7XMK5RM4DOAKR

not attested not anchored not stored refs pending

Counterexamples to double recurrence for non-commuting deterministic transformations

Shrey Sanadhya, Zemer Kosloff

arxiv:2507.15528 v1 · 2025-07-21 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5B5XG3KCSSU5E7XMK5RM4DOAKR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:40:38.768789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e87b736d4294a9d27eec5762ce0dc05462f30e863bc741acba054e3bd9e3a578

Aliases

arxiv: 2507.15528 · arxiv_version: 2507.15528v1 · doi: 10.48550/arxiv.2507.15528 · pith_short_12: 5B5XG3KCSSU5 · pith_short_16: 5B5XG3KCSSU5E7XM · pith_short_8: 5B5XG3KC

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5B5XG3KCSSU5E7XMK5RM4DOAKR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e87b736d4294a9d27eec5762ce0dc05462f30e863bc741acba054e3bd9e3a578

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ea5b669bb521cb617d7d755452160c81ccee833d12d2150eafb9da1327c4cd7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-07-21T11:55:32Z",
    "title_canon_sha256": "815caa507623aa55c3952a88344157b211dddafbe99f941b7240acdc2b9cbab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15528",
    "kind": "arxiv",
    "version": 1
  }
}